• DOI:10.1007/BF00934529
Corpus ID: 120368663

Two-noisy-versus-one-silent duel with equal accuracy functions

@article{Kurisu1983TwonoisyversusonesilentDW,
  title={Two-noisy-versus-one-silent duel with equal accuracy functions},
  author={T. Kurisu},
  journal={Journal of Optimization Theory and Applications},
  year={1983},
  volume={39},
  pages={215-235}
}

T. Kurisu

Published 1983

Mathematics

Journal of Optimization Theory and Applications

This paper deals with the two-noisy-versus-one-silent duel which is still open, as pointed out by Styszyński (Ref. 1). Player I has a noisy gun with two bullets, and player II has a silent gun with one bullet. Each player fires his bullets aiming at his opponent at any time in [0, 1]. The accuracy function (the probability that one player hits his opponent if he fires at timet) isp(t)=t for each player. If player I hits player II, without being hit himself before, the payoff of the duel is +1… CONTINUE READING

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